Wieferich@Home
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Wieferich@Home is a distributed computing (DC) project searching for Wieferich primes. It is the first Czech distributed computing project.[citation needed] The only known Wieferich primes are 1093 and 3511, found in 1913 and 1922, respectively.[1][2] It is not known if there exist infinitely or finitely many Wieferich primes, or if only the two known primes exist. The project is included in number of lists of distributed computing projects. All users can participate in this problem by running a free application on their own computer; the solution can be important in number theory and possibly cryptography.
[edit] References
- ^ Meissner, W. (1913), "Über die Teilbarkeit von 2pp − 2 durch das Quadrat der Primzahl p=1093", Sitzungsber. Akad. D. Wiss. Berlin: 663–667
- ^ Beeger, N. G. W. H. (1922), "On a new case of the congruence 2p − 1 ≡ 1 (mod p2)", Messenger of Mathematics 51: 149–150
[edit] Further reading
- New @Home project, this time Czech and mathematical – ScienceWorld article (in Czech)
- The continuing search for Wieferich primes - paper about the recent search (Joshua Knauer and Jörg Richstein)
[edit] External links
- Wieferich@Home - the web page of the project
- Sequence
A001220 in the On-Line Encyclopedia of Integer Sequences - OEIS reference to the project - Free DC - Distributed Computing Stats System
- Distributed Computing - active DC projects (mathematics)